3535451424960 has 1792 divisors, whose sum is σ = 15476556791808. Its totient is φ = 662490316800.

The previous prime is 3535451424931. The next prime is 3535451424971. The reversal of 3535451424960 is 694241545353.

It is a happy number.

It is a super-2 number, since 2×3535451424960² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1887586584 + ... + 1887588456.

It is an arithmetic number, because the mean of its divisors is an integer number (8636471424).

Almost surely, 2^{3535451424960} is an apocalyptic number.

3535451424960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3535451424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7738278395904).

3535451424960 is an abundant number, since it is smaller than the sum of its proper divisors (11941105366848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3535451424960 is a wasteful number, since it uses less digits than its factorization.

3535451424960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 51.

The spelling of 3535451424960 in words is "three trillion, five hundred thirty-five billion, four hundred fifty-one million, four hundred twenty-four thousand, nine hundred sixty".